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Finding the Third Proportional to 909,856 and 1,985,344

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Solution

The third proportional to 909,856 and 1,985,344 is: 4,332,103.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,856 : 1,985,344 = 1,985,344 : x
  2. Step 2: Convert to fraction form
    909,856/1,985,344 = 1,985,344/x
  3. Step 3: Cross multiply
    909,856x = 1,985,344 × 1,985,344
  4. Step 4: Simplify right side
    909,856x = 3,941,590,798,336
  5. Step 5: Solve for x
    x = 3,941,590,798,336/909,856
  6. Step 6: Final answer
    x = 4,332,103.98

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.